Total pages: x
First day: 1/5(x) pages
Second day: 3/8 of 4/5(x) or 3/10(x) pages
Third day: 1/5 (x) + 48
Add the pages:
1/5(x) + 3/10(x) + 1/5(x) + 48 = x
LCD: 10
2x + 3x + 2x + 48 = x
10
7(x) + 48 (10) = x (10)
10x - 7x= 480
3x = 480
3x/x = 480/3
x = 160
The total number of pages of book is 160.
Check:
First day: 1/5 (160) = 32 pages
Second day: 3/10(160) = 48 pages
Third day: 32 + 48 = 80 pages
32 + 48 + 80 = 160
80 + 80 = 160
160 = 160